{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.5.2\n"
     ]
    }
   ],
   "source": [
    "import paddle\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "print(paddle.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x294fd3d69b0>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_points=np.linspace(0,60,600)\n",
    "dataset=np.sin(data_points)\n",
    "plt.plot(dataset)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(5, 100, 1)\n",
      "(5, 100, 1)\n"
     ]
    }
   ],
   "source": [
    "time_steps=100\n",
    "input_size=1\n",
    "dataX,dataY=[],[]\n",
    "for i in range(500):\n",
    "    x=dataset[i]\n",
    "    y=dataset[i+1]\n",
    "    dataX.append(x)\n",
    "    dataY.append(y)\n",
    "dataX,dataY=np.array(dataX),np.array(dataY)\n",
    "dataX=np.reshape(dataX,(-1,time_steps,input_size))\n",
    "dataY=np.reshape(dataY,(-1,time_steps,input_size))\n",
    "print(dataX.shape)\n",
    "print(dataY.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataX=paddle.to_tensor(dataX,dtype='float32')\n",
    "dataY=paddle.to_tensor(dataY,dtype='float32')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x294fd69a898>]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "class rnn(paddle.nn.Layer):\n",
    "    def __init__(self):\n",
    "        super(rnn,self).__init__()\n",
    "        self.rnn=paddle.nn.SimpleRNN(1,128,2,activation=\"relu\")\n",
    "        self.fc=paddle.nn.Linear(in_features=128,out_features=1)\n",
    "    def forward(self,x):\n",
    "        x,h=self.rnn(x)\n",
    "        x=self.fc(x)\n",
    "        return x\n",
    "model=rnn()\n",
    "out=model(dataX)\n",
    "data=np.reshape(out,(-1))\n",
    "plt.plot(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_iterations=600\n",
    "learning_rate=0.0001\n",
    "model=rnn()\n",
    "opt=paddle.optimizer.Adam(learning_rate=learning_rate,parameters=model.parameters())\n",
    "mse_loss=paddle.nn.MSELoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "99 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.02436452)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "199 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00428341)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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J4YHMTQ7jpb0lusavUm7GM/owhmjb8WoC/byZljDK6lKG3ZWz4rn7pYPsL65nRqLn7b8aHvWtnewprCUrv5aDJfXUtXbS2NpJa2c34cF+xI0cQfzoEcxJDmNRagShAb5Wl+zyNPzPwrbj1cxJDsPX2/M+KF0yLZZ7Nmbz8p5iDX9lV909hq1HK/nHjkLez6mkx/Rea5oYHUJEiD+Jo0cQ4OvNyaZ28qub+Tj3JI9/ko+PlzB7zGiuyUhkzfQ4/Hw879+lPWj4n0FlQxu5lU1cMzvB6lIsERrgy4r0aDbuL+VHl6brPzQ1ZN09hud2F/Hg+7mU1LUSGeLP7eePY/H4CGYkjRpwUEVXdw97Cuv4IKeSzdnlfPeF/dy7OYdbFiZz47wxBPtrnJ0L/ds6g+15tv7+cREWV2Kdq2bF88aBMrYerWJFuvusXqaG3868an762mEOlzUwe8xofnxpGsvTo8/qU7WPtxdzx4Yxd2wY31s5ka1Hq3j4wzx+/eanPLEtn/+6bDIrJ0cj0t99p+pUGv5nsP14NaEBPqTHhVpdimUWp0YSHuTHS3uKNfzVoLR1dvPT1w7zzK5C4kYG8MANM7l0auygg1pEWDoxiqUTo8gqqOFHLx/iq3/PYnlaFD+/fAqxI0fYeQ/cj36GP4Ntx6s5LyUcby/PPZvw9fZizYw4thyppL6l0+pylIvJq2ri8gc/4Zldhdx+fgpbvrOU1dPi7HaGPntMGK/9xyJ+eMkkPsmt5pL//YiPjjnf3GDORsP/NIpqWiisafG48f39uXJmAh3dPbx+UOf5V2dvc3Y5l93/MRUNbTx+yxx+cHEaI/zsvxaGr7cX65eM441vLiIqJICbH9vFA+8do6dHhygPRMP/NLS///9NiQ9lfFQwr+oiL+osPZ9ZxNf+nsX46BDe+OZiLpgY5fA2UyKDefkbC1gzPY573z7KN57eQ3tXt8PbdUUa/qex43g14UF+TIgOtroUy4kIa6bHsetEjU73oM7o0Y/y+P6LB1g4PoJnvnIecaOGrw8+0M+HP35hBj+6JI03D5Xz5Sd267Kk/dDwP41d+TXMHRumowds1kyPA+D1A3r2rwb2wHvH+MUbR7hkagyPrsuwZD4sEeErS1L4/TXT2ZFXw42P7qS2uWPY63BmGv4DKKtvpbi21S0Xah+s5IggpieM1K4fNaCndxZy79tHuXJmPPdfPwt/H2vXur5qdgIPfXE2R8oauP6RHTpgoQ8N/wHsOlEDoOF/ijUz4skubSC3ssnqUpSTeedwBT9+5SBLJ0by26unOc0IuRXp0fxtXQZ5Vc3c8sQuWjq0Cwg0/Ae0O7+GID9v0mJDrC7FqVw2LRYR2Lhfz/7V/8sqqOU/ntnDlPiRPHjDLKebCmVxaiR/un4G+4rquH1Dll4ERsN/QJn5tcwaMxofJ/sltlpUaADzU8LZuE9n+lS9KhvauH1DFtGhATz2pTkEOek0C6umxPLbq6bx0bGTfPu5fR4/DFSTrR/1LZ3kVDRql88A1s6II7+6hYMl9VaXoizW2d3DHU/vpbm9i0duziAi2N/qkk7rmoxEfnRJGpsOlnPfu0etLsdSGv79yCyowRjt7x/Iqsmx+Hl76YVfxb2bc9iVX8Ovr5zKhGjX6CK9bfFYvpCRyP3v5fLqvhKry7GMhn8/dufX4ustzEzSKYz7MzLQlyUTItl0sMzjPzp7ss3Z5fz1wzy+OC+Jy2fGW13OWRMRfn75lN4J4l48wL6iOqtLsoSGfz9259cwNX4kAb7WDlNzZqunxVJW38beolqrS1EWqGxo4/svHmBawkh+sjrd6nLOmZ+PFw99cTbRof6sfyqTqsZ2q0sadhr+p2jr7OZAcZ12+ZzBsrQo/Hy8eG1/mdWlqGFmjOGHLx+irbOb+74ww/Kx/IMVFuTHwzdlUN/aybef20e3h32K1fA/xb6iOjq7jYb/GYQE+HLBRO368USv7Cvh3SMVfPeiiYyLdO2pT9JiQ/nZ2sl8nHuSB97LtbqcYaXhf4rM/N6buzKSR1tcifO7dFoclY3t7Lb9nSn3V9nQxn9vPMzsMaP58qKxVpdjF9dmJHLlzHj+uOUon+SetLqcYaPhf4rd+bVMiA5mVKCf1aU4vWWTogjw9eKNg9r14yl+/Epvd8/vnOgO3qESEX5xxRTGRwZz57N7OdnkGf3/Gv599PQY9hTWkqFdPmclyN+HCydFselgucf1l3qi93MqeftwBd9aPoEUF+/uOVWgnw8P3DCLhtYufvDSQY+4gVHDv49jlU00tnUxO0m7fM7WpVPjONnUzs4T1VaXohyoo6uHn79+mLERQdzqJt09p5oYE8L3V03kncMVPJ9ZZHU5DmeX8BeRVSKSIyK5InJ3Pz+/S0QOi8gBEdkiImPs0a69ZRX0DlucPUbD/2xdOCmKEb7evHFAu37c2VPb88mrauYnq9Pw83Hfc8YvLxzL/JRwfvraYQqqm60ux6GGfBRFxBt4ELgYSAeuF5FTB/7uBTKMMdOAF4H/GWq7jpBVUEt4kB9jwgOtLsVljPDz5sK0KDZna9ePuzrZ1M7/vnuM8ydEDstqXFby8hJ+f+10vL2Eu57f79a/0/b4L3wukGuMyTPGdADPAmv7bmCMed8Y02J7ugNIsEO7drensHcyN1285dxcMiWWk00dOurHTf3+7RxaO7v5yep0j/i3ETdqBD9fO4Wsgloe/+SE1eU4jD3CPx7o20FWbHttILcCb/b3AxFZLyKZIpJZVVVlh9LOXnVTOydONmuXzyBcMCmSAF8vNumoH7dzrKKR53YXcfP8ZMZHuddF3tNZOyOOZZOiuPftHLft/rFH+Pd3KtDvZyUR+SKQAfyuv58bYx42xmQYYzIiIyPtUNrZ21PYO7+Hhv+5C/Tz4YKJUbx5qFxv+HIzv3/7KIF+Ptxx4XirSxlWIsIvr5iKr5cXd//TPUf/2CP8i4HEPs8TgM9N9ygiy4EfAWuMMU43kDaroHcyt6nxI60uxSVdPDWWqsZ2sgp1rh93sb+ojreyy7lt8VjCgjzvvpeYkQH88NI0tudV8+xu9xv9Y4/w3w2kishYEfEDrgM29t1ARGYCf6U3+Cvt0KbdZRXUMEUncxu0Cyf1zvWjXT/u4963cwgL8uO2xSlWl2KZ6+YkMj8lnF+9cYSKhjary7GrIYe/MaYLuAPYDBwBnjfGZIvIz0RkjW2z3wHBwAsisk9ENg7wdpbo6Ophf3G9ju8fgmB/H86fEMmbB7Xrxx1sO36Sj46d5OtLxxHspCtzDQcR4TdXTaWju4efvX7Y6nLsyi4Ddo0xm4wxE4wx44wxv7S9do8xZqPt8XJjTLQxZobta83p33F4ZZfW09HVo/39Q3Tp1FjKG9rY66Hzo7sLYwz3bs4hJjSAL85zyltyhtWY8CDuuGA8bxwoY+vR4R2I4kjue7fGOfjs5q5ZGv5DcmFaFH7e2vXj6j48dpI9hXX8x7Lx2g1qs/78FFIig7jn1d65jdyBhj+94/sTRo8gOjTA6lJcWmiAL4tSI3jrULlbjo7wBMYY/rTlGHEjA7hmduKZ/4CH8Pfx5hdrp1BQ3cKf33ePqZ81/IE9BXXM0v5+u1g1JYaSulYOlTRYXYoahO3Hq8kqqOVrS8e59TQOg7FgfASXz4jjL1uPk1fVZHU5Q+bxR7e0rpXyhjZm6Xq9drEiLRpvL+GtbO36cUV/eu8Y0aH+XJOhZ/39+eGlaQT4ePPT1w67/Kdbjw//vbabu2bqmb9djA7yY15KGG9q14/L2ZlXzY68Gm5fMk77+gcQFRLAnctT2Xq0ii1HnHLU+lnT8C+sxd/Hi7TYUKtLcRurpsSSV9VMbqXrfzT2JPe/l0tEsD/Xz02yuhSntm5B71QXP3v9sEtf/PX48N9TWMvU+JHav2lHK9OjEYE3D5VbXYo6S/uK6vg49yTrl4xlhJ+e9Z+Or7cX/33ZZAprWnj0ozyryxk0j0689q5uDpU2MFP7++0qKjSA2UmjeUvD32U89MFxQgN8uOE8Hdd/NhalRrBqcgwPvn+c0rpWq8sZFI8O/yNljXR09Wh/vwOsmhLD4bIGCqtbzryxstTxqiY2Hy7n5vnJHn0377n60aVpdBvD7zbnWF3KoHh0+O/57OYuDX+7Wzk5BkBH/biAh7fm4eftxZcWJltdiktJDAvktkVjeXlvCftc8K52jw7/vUV1xI4MIGak3txlb4lhgUyNH6n9/k6uoqGNl/eWcG1GIhHB/laX43K+fsF4IoL9+fnrrjf007PDv7BW+/sdaNWUGPYW1rndbIju5LGPT9DV08NXPHjmzqEI9vfheysnkFVQy+suto61x4Z/ZWMbxbWt2uXjQCsnRwPwdrae/Tuj+tZO/rGzkEunxZGk61YP2tWzE0mPDeU3b37qUkM/PTb8///mLj3zd5TxUSGkRAaxObvC6lJUP57ZVUhTexe3L9Gz/qHw9hJ+vDqNkrpWHnOhNX89Ovx9vYXJcbpylyOtmhzD9rxq6lo6rC5F9dHR1cMTn+SzYFw4U3T1uiFbMC6C5WlR/OX941Q3Od1Chf3y2PDfU1hLepyu3OVoKyfH0N1jXP5WeHfzxsFSyhvatK/fju6+eBItnd3c/55rzPrpkeHf1d3DweJ6ZiZql4+jTUsYSezIAN7Sfn+nYYzhkQ9PMD4qmPMnRFpdjtsYHxXCF+Yk8vcdBZw42Wx1OWfkkeF/rLKJ1s5uZmj4O5yIsHJyDB8eraKlo8vqchS90zYfLmvgtkVj8fISq8txK99anoqfjxe/ffNTq0s5I48M//22GzKma/gPi5WTY2jv6mFrjvssgefKHv34BOFBflw+M97qUtxOVEgAty8Zx1vZ5WQV1Fhdzml5ZvgX1xEa4EOyDm8bFnOSRzM60JfN2vVjudzKJt77tJKb5o/R610O8pUlY4kM8ee3b+Y49Y1fHhn++4rqmZ44ChH9yDscfLy9WJ4WzZYjlXR09Vhdjkd7/JMT+Pl4cZMuzO4wgX4+fPPC8ezKr3HqBd89LvxbOro4WtGo/f3DbOXkGBrbu9ieV211KR6rrqWDf+4p5ooZ8YTrVA4O9YU5SSSGjeB3m3Po6XHOs3+PC/9DJQ109ximJ2j4D6dFqREE+nlr14+FntlVRFtnD7csSra6FLfn5+PFXSsmkF3awKZDzjntg8eFv17stUaArzdLJ0byzuEKpz0Tcmed3T08tb33pq5JMbpq3XBYMz2eidEh/OHto3R1O193p13CX0RWiUiOiOSKyN39/NxfRJ6z/XyniCTbo93B2FdcR/yoEUSG6Mfe4bZycgxVje3sLaq1uhSP89ahcsrq2/jywrFWl+IxvL2E766cSN7JZv65p9jqcj5nyOEvIt7Ag8DFQDpwvYikn7LZrUCtMWY8cB/w26G2O1j7i+q0v98iF0yKwtdbdK4fCzz2yQnGhAdy4aQoq0vxKMvTopiROIo/bcl1usEO9jjznwvkGmPyjDEdwLPA2lO2WQs8aXv8IrBMLBhqc7KpneLaVqYn6lwmVggN8GX+uAg2Z5c79RA4d7O3sJa9hXXcsiBZb+oaZiLCXSsmUFLXynOZRVaX82/sEf7xQN+9Kra91u82xpguoB4IP/WNRGS9iGSKSGZVlf2HSB0otvX368Vey6ycHE1BdQs5FY1Wl+IxntyWT7C/D1dnJFpdikdanBrBnOTRPPherlNN+WyP8O/vVOLU07qz2QZjzMPGmAxjTEZkpP3nHNlXVI+XoLMYWmhFejQisPmQdv0Mh8rGNt44WMbVsxN0fV6LiAjfXjGB8oY2nt5ZaHU5/2KP8C8G+p5SJAClA20jIj7ASGDY733eV1THhOgQgvQfgWWiQgKYlTRah3wOk2d2FtHZbbh5vt7UZaUF4yKYnxLOnz84TmuHc5z92yP8dwOpIjJWRPyA64CNp2yzEVhne3w18J4Z5k5fYwwHiuu0y8cJXJQezeGyBoprW6wuxa11dPXwj50FLJkQSUpksNXleLy7LprAyaZ2NuzIt7oUwA7hb+vDvwPYDBwBnjfGZIvIz0RkjW2zvwHhIpIL3AV8bjiooxXVtFLX0qnj+53AivTe5R3fPaxdP470VnY5lY3tfGmBnvU7gzlWCreoAAAUDElEQVTJYSxOjeChrXk0t1s/w61dxvkbYzYZYyYYY8YZY35pe+0eY8xG2+M2Y8w1xpjxxpi5xpg8e7R7Lg6U9F7snZag/f1WS4kMZlxkEO8c0fB3pKe25TMmPJClE3R4p7O4a8UEapo7eHJ7vtWleM4dvgeK6/Hz9mJCdIjVpShgRXoMO/NqqG/ttLoUt3SopJ7MglpumjdGh3c6kZlJo7lwUhQPf5hHY5u1v/seFP51pMWF4ufjMbvs1FakR9HVY/ggR5d3dISntuczwteba3R4p9P51vJU6lo6eeKTfEvr8Igk7OkxHCppYJoO8XQaMxJHExHsxzva7293dS0dvLqvlMtnxjNyhK/V5ahTTEsYxfK0aB75KM/ST74eEf55J5tpau/S/n4n4u0lLJsUzdacKqe77d3VvZBZTHtXjw7vdGLfWp5KQ1sXf/v4hGU1eET4H/zXxV4d6eNMVqRH09jexc4TOse/vfT0GDbsKGBO8mjSYnX2Tmc1JX4kqybH8NjHJ6ht7rCkBo8I//1F9Yzw9WZcZJDVpag+Fo6PIMDXS7t+7Gjr0SoKa1q4aX6y1aWoM/j2igk0d3Tx8EfDPvgR8JDwP1hSz5T4UHy8PWJ3XcYIP28Wp0by7uEKnejNTp7ank9EsD+rJsdYXYo6g4kxIVw2LY4nPsnnZFP7sLfv9mnY1d1Ddmk9U+O1y8cZrUiPprS+jezSBqtLcXmF1S18cLSKG+Ym6qg2F3Hn8lTau7p56IPjw9622/+GHKtsoq2zR6dxdlLLJkUhgnb92MHfdxbgJcL15yVZXYo6S+Mig7liZgIbdhRQ0dA2rG27ffgfLK4HYKoO83RK4cH+zE4areE/RG2d3TyfWcRF6dHEjhxhdTnqHNy5LJXuHsOD7+cOa7tuH/4HSuoICfAhOVwv9jqrFbaJ3krqWq0uxWVt3F9KXUsnN+nwTpeTFB7INRmJPLOrkKKa4Zvs0P3Dv7ieqfEj9RZ3J7ZcJ3obEmMMG7YXkBoVzPyUz62RpFzAnctS8RLhvnePDlubbh3+HV09fFrWyFS9ucupjYsMJiUySLt+BmlfUR0HS+q5ef4YLFgdVdlBzMgAvrQwmZf3lpBTPjyr3Ll1+B+taKSju4cpcRr+zm5FejQ78qppsHiyK1e0YXsBwf4+XDErwepS1BB87fxxBPv78LvNOcPSnluH/2Hb8EFdttH5rUiLtk30Zv+1m91ZdVM7rx8o48pZ8bpMo4sbFejHV88fx7tHKsgqcPxCh24d/tml9QT7+zAmLNDqUtQZzEwaTXiQTvR2rp7LLKKju4eb5umFXndwy8JkIoL9+e2bOQ6/8dGtTxWySxtIiw3Ri70uwNtLuHBSFG8dKqejq0dvUjoL3T2Gf+woZH5KOKm6ToVbCPTz4Z7L0hmOxHLbf2HdPYbDZQ1M1v5+l3HR5Bga27vYkacTvZ2Nd49UUFLXyroFyVaXouxozfQ4Lpse5/CL924b/vnVzbR0dDM5Tmc2dBWLUyMI9PPmrexyq0txCU9tzyduZADL03SZRnXu3Db8P5srRs/8XUeArzdLJ0bydnYF3T060dvp5FY28kluNTfOG6MTFqpBcdvfmuyS3jV7U6ODrS5FnYOVk2M42dTO3sJaq0txak9tL8DP24vr5ugyjWpw3Df8SxuYEBOMr54VuZQLJ0Xh5+3FW4e062cgjW2d/DOrmNXTYwkP9re6HOWi3DIZjTFkl9brzV0uKCTAlwXjw9l8uFzn+B/AS3tKaO7oZp0u2KKGwC3Dv7S+jdqWTr3Y66JWTY6hqKaVw2U6x/+penoMT27PZ3riKKYn6hoVavDcMvyzS3qncU7XM3+XtDw9Gi+Bzdr18zkf5Z4kr6qZLy9MtroU5eKGFP4iEiYi74jIMdv30f1sM0NEtotItogcEJEvDKXNs5Fd2oAIpMXqjS+uKCLYn4zkMDZn692+p3rikxNEhvhz8ZRYq0tRLm6oZ/53A1uMManAFtvzU7UANxtjJgOrgD+KiEM/r2aXNjAuMphAP7e+gdmtrZocQ05FI8ermqwuxWmcONnM+zlV3Hhekt4BrYZsqL9Ba4EnbY+fBC4/dQNjzFFjzDHb41KgEogcYrunlV1ar/39Lu7iqTGIwBsHyqwuxWk8uS0fX2/hBl2mUdnBUMM/2hhTBmD7ftpbDUVkLuAH9LtasYisF5FMEcmsqhrc7I41zR2U1bdp+Lu42JEjmJMcxsb9pTrqh97hnS9mFbN6WhxRIQFWl6PcwBnDX0TeFZFD/XytPZeGRCQW2ADcYozp6W8bY8zDxpgMY0xGZOTgPhz4+3jxp+tnsjwtelB/XjmPy6bHkVvZRE7F8Cxu4cz+mVVMU3sXX9J5fJSdnLFT3BizfKCfiUiFiMQaY8ps4V45wHahwBvAj40xOwZd7VkI8vdhzfQ4RzahhsnFU2L4743ZvLa/lEkxnvtJrrvH8MS2fGYm6fBOZT9D7fbZCKyzPV4HvHrqBiLiB7wMPGWMeWGI7SkPEhHsz4Jx4by2v8yju37ePVJBfnULty1KsboU5UaGGv6/AVaIyDFghe05IpIhIo/atrkWWAJ8SUT22b5mDLFd5SEumx5HYU0L+4vrrS7FMo9+lEfC6BGsnKxdmcp+hhT+xphqY8wyY0yq7XuN7fVMY8xttsd/N8b4GmNm9PnaZ4/ilftbOTkGP28vXttfanUplthXVMfu/FpuWThWZ+9UdqW/TcqpjRzhy/kTI3n9QCk9HjjN86Mf5RHi78MXdPZOZWca/srpXTY9joqGdnac8KwVvoprW3jzUDnXn5eki7Mru9PwV05vRVo0If4+vJhVbHUpw+qJT/IBdHincggNf+X0Rvh5s3p6LG8eLKepvcvqcoZFXUsHz+wqZPW0WOJGjbC6HOWGNPyVS7gmI5HWzm7eOOAZF36f3FZAc0c3X1s6zupSlJvS8FcuYWbiKMZFBvFCpvt3/TS3d/H4thMsT4vy6JvblGNp+CuXICJck5FIZkGt28/0+cyuQupaOvna0vFWl6LcmIa/chlXzozH20vc+sJve1c3j350gnkpYcwe87nlMZSyGw1/5TKiQgM4f0IkL+0ppttNx/y/vKeE8oY2vq5n/crBNPyVS7lmdgIVDe1sPdrvHIIurau7h79sPc6U+FAWp0ZYXY5ycxr+yqUsS4smKsSfp7YXWF2K3b20p4SC6hbuXDYBEbG6HOXmNPyVS/Hz8eKG85L4IKeKEyebrS7Hbjq6evjTe8eYljCS5WmnXRNJKbvQ8Fcu54a5Sfh4CRvc6Oz/hawiimtb+fYKPetXw0PDX7mcqNAALpkaywuZRTS7wR2/bZ3dPPBeLrOSRrF0gkOXt1bqXzT8lUtatyCZxvYuXt5bYnUpQ/bc7iLK6tu4a8VEPetXw0bDX7mkWUmjmBIfylPb8116la/m9i4eeD+XuWPDWDg+3OpylAfR8FcuSURYNz+ZoxVNbD/uulM9P/JRHlWN7fznKj3rV8NLw1+5rMumxxEZ4s+DH+RaXcqgVDS08deteVw6NZbZY8KsLkd5GA1/5bICfL25fUkKn+RWk1VQY3U55+wPbx+lq6eH76+aaHUpygNp+CuXdsN5SYQH+fGnLa519n+krIHns4pYNz+ZMeFBVpejPJCGv3JpgX4+3LY4ha1Hq9hXVGd1OWfFGMOvNh0hNMCXOy7UOXyUNTT8lcu7af4YRgX6cv+WY1aXclY2Z5fz0bGTfHNZKqMC/awuR3koDX/l8oL9fbh14Vi2fFrJoZJ6q8s5rab2Lv5742HSYkNZN3+M1eUoD6bhr9zCuoXJjBzhy682HXHqcf/3vXOUisY2fnXFFHy89Z+fss6QfvtEJExE3hGRY7bvA64+ISKhIlIiIg8MpU2l+hMa4MtdKyaw7Xg1m7MrrC6nX4dK6nn8kxPcMDeJmUm6UIuy1lBPPe4GthhjUoEttucD+TmwdYjtKTWgG89LYmJ0CL/cdJi2zm6ry/k33T2GH71yiLAgP76/cpLV5Sg15PBfCzxpe/wkcHl/G4nIbCAaeHuI7Sk1IB9vL+65LJ2imlb+9vEJq8v5Nw9tPc7+ojp+sjqdkYG+Vpej1JDDP9oYUwZg+/65ichFxAv4PfC9Ibal1BktHB/BysnRPPh+LuX1bVaXA8DB4nrue+coq6fFsmZ6nNXlKAWcRfiLyLsicqifr7Vn2cbXgU3GmKKzaGu9iGSKSGZVVdVZvr1S/+7Hl6bT1WO459VDll/8be3o5s7n9hIZ4s8vL5+q8/cop+Fzpg2MMcsH+pmIVIhIrDGmTERigf4WVp0PLBaRrwPBgJ+INBljPnd9wBjzMPAwQEZGhvMO2VBOLTEskO9eNIFfbfqUF7KKuTYj0bJafrXpCHlVzTx923na3aOcylC7fTYC62yP1wGvnrqBMeZGY0ySMSYZ+C7wVH/Br5Q93bYohXkpYfx0YzaF1S2W1LBxfykbdhRw26KxLBivC7Ir5zLU8P8NsEJEjgErbM8RkQwReXSoxSk1WF5ewr3XTMdLhLue30d3z/B+kDxQXMf3XtjPnOTRfH+Vju5RzmdI4W+MqTbGLDPGpNq+19hezzTG3NbP9k8YY+4YSptKna2E0YH87PLJZBbUcv97wzf1Q2VDG+ufyiIi2J+/fHE2fj56M5dyPvpbqdza5TPiuXJWPH989xiv7nP8ko9tnd2s35BFQ1snj9ycQUSwv8PbVGowznjBVylXJiL8+sqplNa18r0XDhAdGsC8FMcsl9ja0c2tT+5mf3Edf7lxFulxoQ5pRyl70DN/5fb8fbz56xczSAoPZP1TmeRWNtq9jZaOLm55Yhc78qr5/TXTWTUl1u5tKGVPGv7KI4wM9OXxL83Bz8eb6x7eYde5/xvbOrnl8d3sOlHDH66dwZWzEuz23ko5ioa/8hiJYYE8u34eAb7eXPfwdjZnlw/5PQ+V1LP6/o/JLKjlvi/M4PKZ8XaoVCnH0/BXHmV8VDAvf30hE2NC+erfs3jw/Vw6unrO+X2MMWzYns+Vf95Ge2cPz66fx9oZGvzKdWj4K48TGeLPs1+ZxyVTY/nd5hxW/fFD3v+0v5vTP88Yw9ajVVzx52385NVs5o8L541vLmJOcpiDq1bKvsTquU8GkpGRYTIzM60uQ7m59z+t5OevHybvZDNzkkezcnIMy9OiSY74/0XVjTEcq2xi54kaXtlbQlZBLXEjA7jjwlSum5OIl5fO16Och4hkGWMyzridhr/ydB1dPTy1PZ/ndhdxrLIJgPAgPwJ8vfH1FupbO6lt6QQgMWwEty8ZxzUZCfj7eFtYtVL9O9vw13H+yuP5+Xhx2+IUblucQmF1C1s+reBoRSMdXYbO7h5G+HozO3k0540NIyksUGfmVG5Bw1+pPpLCA7ll4Viry1DK4fSCr1JKeSANf6WU8kAa/kop5YE0/JVSygNp+CullAfS8FdKKQ+k4a+UUh5Iw18ppTyQ007vICJVQMEQ3iICOGmnclyFJ+4zeOZ+e+I+g2fu97nu8xhjTOSZNnLa8B8qEck8m/kt3Ikn7jN45n574j6DZ+63o/ZZu32UUsoDafgrpZQHcufwf9jqAizgifsMnrnfnrjP4Jn77ZB9dts+f6WUUgNz5zN/pZRSA9DwV0opD+R24S8iq0QkR0RyReRuq+txFBFJFJH3ReSIiGSLyJ2218NE5B0ROWb7PtrqWu1NRLxFZK+IvG57PlZEdtr2+TkR8bO6RnsTkVEi8qKIfGo75vPd/ViLyLdtv9uHROQZEQlwx2MtIo+JSKWIHOrzWr/HVnr9yZZvB0Rk1mDbdavwFxFv4EHgYiAduF5E0q2tymG6gO8YY9KAecA3bPt6N7DFGJMKbLE9dzd3Akf6PP8tcJ9tn2uBWy2pyrH+F3jLGDMJmE7v/rvtsRaReOCbQIYxZgrgDVyHex7rJ4BVp7w20LG9GEi1fa0H/jLYRt0q/IG5QK4xJs8Y0wE8C6y1uCaHMMaUGWP22B430hsG8fTu75O2zZ4ELremQscQkQTgUuBR23MBLgRetG3ijvscCiwB/gZgjOkwxtTh5sea3mVmR4iIDxAIlOGGx9oY8yFQc8rLAx3btcBTptcOYJSIxA6mXXcL/3igqM/zYttrbk1EkoGZwE4g2hhTBr3/QQBR1lXmEH8Evg/02J6HA3XGmC7bc3c85ilAFfC4rbvrUREJwo2PtTGmBLgXKKQ39OuBLNz/WH9moGNrt4xzt/CXfl5z67GsIhIM/BP4ljGmwep6HElEVgOVxpisvi/3s6m7HXMfYBbwF2PMTKAZN+ri6Y+tj3stMBaIA4Lo7fI4lbsd6zOx2++7u4V/MZDY53kCUGpRLQ4nIr70Bv8/jDEv2V6u+OxjoO17pVX1OcBCYI2I5NPbpXchvZ8ERtm6BsA9j3kxUGyM2Wl7/iK9/xm487FeDpwwxlQZYzqBl4AFuP+x/sxAx9ZuGedu4b8bSLWNCPCj9wLRRotrcghbX/ffgCPGmD/0+dFGYJ3t8Trg1eGuzVGMMT8wxiQYY5LpPbbvGWNuBN4HrrZt5lb7DGCMKQeKRGSi7aVlwGHc+FjT290zT0QCbb/rn+2zWx/rPgY6thuBm22jfuYB9Z91D50zY4xbfQGXAEeB48CPrK7Hgfu5iN6PeweAfbavS+jtA98CHLN9D7O6Vgft/1LgddvjFGAXkAu8APhbXZ8D9ncGkGk73q8Ao939WAM/BT4FDgEbAH93PNbAM/Re1+ik98z+1oGOLb3dPg/a8u0gvaOhBtWuTu+glFIeyN26fZRSSp0FDX+llPJAGv5KKeWBNPyVUsoDafgrpZQH0vBXSikPpOGvlFIe6P8AANJ2teQrjlMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "299 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00235364)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "399 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00160295)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "499 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00108169)\n"
     ]
    },
    {
     "data": {
      "image/png": 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kjVLsvOET17a4fXGcfNZbTO49OY1S8BV/YY6zXeA9J4DnH/f+P3YlXk2z3VZ88vwy4oc1nJwpcOeRCZ6K2czvjLGT3TF2z7FJLixtxx6C/NUbJU7PFZjMZwFvjAF86XK8fanH+D3+GHvekQnSKeHLMY/951bLlGpNz/EMiAh3HZ3gq9e3Ym2XSSSCAbixVWOr2uSuo91wszuPTlCut7gSswP6/FKJO3vC4J53xNOULizFa05/9foWs8UsixNjAEzms9wyV+TL1+KdHP/hI1/lh3/tMygFb/qWM/zPf/Qt3LE4wbMr5VgX4NXtOuvlxo6QxjuPTtBsK55dibcvn7y+tWOM3enPg7iF6VeubVHMpTk9WwQgn01zx+I4X7kWr2B40rc+tVIEcNfRSb56vbQv/B8mkAgGuovs7YvjnWNaSDx5Pb7JUW20uLha5o4jXbP51GyRXDoV+6R98ronsES6Ece3LYzHHmXz0Z5omntPTnNkKs+t80WabcW1jWps7brgP5c7esbY8xbjH2PNVpsLy9vc2TPGFiZyTI5lYufyn1oq8bwjEztyY+5YnOg8y7jw9LLXX7cvdJ/ZnUcnKdWaXIlxjJlEIhigMwFuW+hO2jt8DjPOBfjZlTJttXMxSaeE2xbGeSpmi+HSWoVb5os7jmnBEKfWdGmt3HmdSXsLysmZon8uPuvvKV/LvKOHG7/jiNevcY6xqxtV6s32jrEvIty+OB67VfrsSplb58d3HLt1fpyLq2WaMVp/Ty9vMz+eY7qY7Ry73X9+cVt/ppAIBjwNIJdJcWK60Dk2W8wyMZaJdTHRi9wtczsX4DMLRZ6JcQDWmi2ub1U5NVvYcfzMfJHteoulGEsXbFWbndeZlDe8T/rtvLIeX18+vbJNLp3ixEz3mRVzGebHc1yOsV16fJ+avVnIx2kxNFptLq9XOHOT8lGk0VJcjdP6W9reIUihO0cvrpYH3XLgkAgG4OJqhdOzhR0mq4hweq4Ya0frhezkzM4F+ORMkavrldg086vrVZS6eTE509Ga9sfkSPv9eXzai5KKewE+OVvotEnj5GyBy+vxLXL6mZzsE/KnZotc3ajEpplfXqvQaqublSLfgohTaD23Wr7JWj4+nSeTkn0z9qMiEQx4tYhO9C2+AKdnCzwXo2C4vF4ll06x4Dt4NU7M5Nmut9js0Y5doqtl9gss731c2ly5vvN5ZPxFOJ9NszAxxuVYrb/KTc8L4MR0IVZLRj8TLTw1js/kaStiy0vR865fMJzy38cl5JutNje2ajvYBYBMOsXJmNcLk0gEA94C3K+Vgzcon1stx6aZX16vcHwmf1NhuuPT8VIjmuLqf2bH/MXlakzt6hdI2scAcHImH2uE2eW18mDBMFPg8lp81t/l9TKLk2OdcOhOu6a1kI/nmelAgX6F7cjkGCLxKR9LpRqttuL4zM25OrfMFbkYo/JhEodeMNSaLZZLtc5i24vjMwVqzTbr5XiK1l1ZrwwUWCf8QRnXpL20ViGdkpu0zMm855eJa9L2Rx1pHwP4lE1Mk7ZSb7Fcqt9EvYHXrkqjFdsYuzxkjOmF70pMNJceQ/3Jktl0isWJMa7HNMb08+i3GMBr643NJCrpawJdzeRmDeDolEfhXN+Kp7Mvrw2muPSxuLjpS2tljk3lB5Y/Pj6djy0stN+C6uXzT84UuByTX0ZbKoPG2MmZeP0fl33fRz9OzMRsMWxWWJjIkcsMHmNXY1qA9fM4Nj14vbix5VkUBx2HXjBcHuLgBTjmaytxLHSNVpvrW4MprsWJMbJpiY2yubw+mC8Hb8LETT9o9FJJJ3zrbyWGDYWubw7WfqEbShuHYGi3FVfWq5waMMamfOsvToth0OIL3hi7FtMYu7qLxXBsKk+rrVjZZxsKhcGhFwy6o48PmBx6It/YdN/R1za8yJ9BgiGVEo5O5WP0MVQG0iLga3NxWQx939tvMUA8fhk9fgYJhhMdysZ9u5ZLNeqt9kCLAXRfxifkj00Na1chtjF2daNKMZdmqnBznTLdv9e+BuikQy8Y9ITs58sBjvhUUhwdPSyMUOPEdCGWLMtmq831zWqHAunH8ekCS6VaLOUnrm1UGM91najZHh/DiRgjprTFcGRy7KZzc+M58tlULP6P3axl8JSl2PxFm9WBcxK8BXir2qRUcx+Vd3WjwrHp/I6Mfw1t4cSZYW8KiWDYqDI/nrspKgNgLJNmtpjtTGyn7VrXvPQQwTATj8Wwul2nrWBxSAXV49N5VExhjlc3qpzuCW/stRgW/UU5jn2Dr2/WKObSA6vhiggnZgqxREzpRX9Q4AXAiel8LFRS1XfGD6OSjse4AF/ZqA6kkaBLPcexXphGIhjWBzt4NY5O5bkeA5V0vUM/3KxlgqfNXduoOnd06QV/cWJwu+IMWb26Ud1BcfX6GHT56Di2rLyxVeXo1GAtE+DoZD4WulI/iyPDxth0geVSjVqz5bJZnQX/2BDlQ4+xOBbgq+uVoZbM/MQY6ZQkVNLXAq5tDDdZQQsG9x29tFVjYixDMTd4z4Wjk2M024r1sltnql5MFgfQItDVPl1TEOV6k41Kg9NzXSHfazFk0ynmxnPxCIbN2kAaSWNhciwWS2Zpq0Y6JcwWB++5oENWXQutriWzu8Xgeow1Wm2WSrWh7UqnxAuljUHIm4apHdxeLSJPiMh5EXnrgPPvEpEv+H9fFZH1nnOtnnMPmmjPKFgq1YYucuBpLXEIhuVSjYWJ4ZukLHSokXgEw7CFLi6eVX9fL1/e62MAz8qJQzBc9y2GYViYiEdgLW3VmB/P3VSmQ0Nbha5rX13b9KzNo7v4GADnkUnLpRpKDW8XeOe+FqikyFuAiUgaeDfwSuAS8LCIPKiUelxfo5T66Z7r/wnw4p6PqCil7ovajjBottqslevMD6FFwKNylks1mq32wLh9W1ja2l1g6TIZy6UadzM59DrT0IvEsLZN5TPkMimWt90uJlpA9tKC6fTOBW8xBs1cKcX1zepQShC8dm3XW1TqLQq5m31dtrC8h1LUGWOOhda1De/7hlFJ+WyamWLWuWa+vOWNsf4SNb04NjUWe1VaEzCx0r0UOK+UuqCUqgPvB163y/U/CPyuge+NjNVyHaVgcRfN/Oi0VzPGuWYedNI6XuhubFaZzGcGOuvBc6YujOc6k8gV9HPo1cwzfZrwwkTOufa7VWtSbbQ5MrmbxRBPX+41xub9eeF67C+Xaozn0ozvsnXtwoR7Ia+Vnd0s+aNT+cTH4OMkcLHn/SX/2E0QkVuB24CP9RzOi8g5Efm0iLx+2JeIyJv9684tLS0ZaDas+AN+V4thMh5Hl0cl7aJlajPfsTa3VNqdLwfvea44thh0UlFvJEs/RbI46VFJLrOfdYmEYQ5e6Pal60iupa3dx5gWDK4TtlZKtV3nJMRDv2nLabdndmRyjK1qk2rDrcPeNEwIhkEE5bCZ9wbgQ0qp3qd2i1LqLPBDwH8UkTsG3aiUeo9S6qxS6uzi4mK0FvvQGkegyeFwoas1vXC9YZE/AFOFDNm0xOJj2E3LBO+ZrTi3sOqI7NTmbvIxTI5RbbTZrrubtNd3SW7TiMNiaLfVnlTSWCbNVD7jXDNf2a535t0wLE7m3VsMpb2ppLlx79xqDBn2JmFCMFwCTve8PwVcGXLtG+ijkZRSV/z/F4BPsNP/YBVdi2EXJ68/CFwudPq7dpu0IsL8uHtz+sZWjcVdaBHwnlkcWuZcMUeuxw80yMcAbq2sG36drd36Mo4ci41Kg0ZL7ap8gKZs3Csf8+N7Wwyu27VSqpHPpiju4gfSa0kiGOBh4E4RuU1EcniL/03RRSJyNzAL/FXPsVkRGfNfLwDfCjzef68tBLEYdPy7yxo7QdoFsDCZc89LbwWhknIsb9edUjbLpRrzE7kduQL9PobFCU+guRQMWsgv7LLQ6cXEZbuW9wgi0IiDy1/Zru/K44PXrlLNLWWj6d1h+SgA8+O5zrUHGZEFg1KqCfwk8GHgy8AHlVKPicjPi8hrey79QeD9audq8XzgnIg8AnwceGdvNJNtLJfq5NIppvLDnVzFXJqxTMqpBrBXroCG60m7XWtSrrf2btf4GPVmmy2HJQuWS/WbtMx+H8PCpPsFeHW7TiYlA2vraGTTKWaKWad9GXiMOVY+2m3F6nZ9T6VIWzr3/Ms/5hNP3HDRNJZLe7dL+0YOusUQOVwVQCn1EPBQ37G39b3/uQH3fQq410QbwmCQltkPEfGpkf0pGJ64tuWiScDeWc8aXadlnal8dtdrTWGlVOPeUzM7jt1sMbinbFa368yO7z7GwGuby0iuvcKONTy6csVFkwCP4mq11Z4+hskeZe5df/ok33n3EdtNY7lUG1o8UqPDMDimuUzjUGc+r/iCYS/MjeecOp/1wrVX27TAckXZrARs13zHL+PymdU7ZrxG/2I8W8yREsdU0vbN7RoE19bfKMrHRqVBvemmKKKeZ3tFJWV7fEk1R3SSZzHs3pdTeS8oJI7y7iZxqAVDENMQPMHgmkqaLmQZy+ye7LQwkaPearNZcUPZrPm7jM3tsdAtOI5/rzZalGrNPRe5lF/+Yc1hGZHV7fqezwu8THaXORZLpRq5dIrJXXIFoEu/uRr/ncifPZ5Z7wY+LoRWq61Y3d49vBc8ZWRuPHfg92Q45IJh7+gHcB9+uRxQy+xE2TgahGv+4jCsto5GJ5LLkZXVsbACPLPZ8X0qGByPsTW/XXtRXHp+uLJmguQWQZ/F4EAwrJe9qsJ7WQzgPbOD7mM4tIJBKcVKqd7RiHbDvGMqab3s8dJ7wfWk1QvqXm3TgsMVZ74SIL5cY67o1vpbKdWCCaxijlKt6YyyWSs3Ao2xxUm3UTZdKim4xeCi+utyQIHlXZNLqKSDilKtSb3VDjRp58a9xKhy3Q1ls7rd2FMrB5gd9xy7riqsrpUbZNOyYzOcQchlUkwXsu4thgDa3Ox4lrXthu0mAV41zs1qs5P0tBv0Iu2sL7frzBb3DgzQyocra2bZT1Tca/zndvgY7AvTlYAh5OBekbSBQysY1n2+fKYQQDOfcBtpsF4ONmn15Fl1tNCtl+vMFPemH8DPZXBMPwT2FzlcfAHmgggsv7+1H8c2VgNapXqMuaLfdKLisIqvGtlM97wLKklbAEFowbnxMVaTqKSDic2qNwGnCkG0JndJbkqpwLy060m7ul1nLoAlA17bXGnmQSku0O1yE8nVWUwCPLO5jpB3J7SCtGsynyElXUXKNlZKwcZ+r8VQd7CN7HpnjAVYLyZybNdbB7pe0qEVDBsVLRj2TuXQA3XVgXlYabSoNdvMBJi0hVyafDbljH5YLzeYCWDJgKcBuxJYQSku8Pqy2VZOku9WR9AyXVJJrbZio9IIZJWmUsKMw0iu1XIwwZB1WAIfupZcIIYhhmoJpnFoBYMO8ZwOYDF0i5zZ7+huSGjQBTjnjH5YK9cD+T4AZoo5Z1rmKBSXbv+6A2tGLwyBfB/aYnCwAG9WGrRVMAsLYMahkF8POMbGMq4FQ52JscwOp/cwdJPcDq6f4RALBm9hCCIY9ARac6AB6O8IYjFAlxpxgbWAvDS4thiC+WSgx/pz0LZVf2EIogFrS8yFMNW/PaiQn3NKCzYC0TX9FoNtanAka7lj/bl5ZjZwaAVDl0rau7PHc2myaWG9Yr+j9WIaZDEBP8rGwSKnlGK9HIx+AE+w1ZptKg5KXK+VG4EFqZ7cLoTparkRKMIGvF3Jirm0Ex/D+gg+GcAZlaSUYqPcYDoAXdOvudv2M4xiLXcDCRIq6cBhs9ogJTCR29vHICJMF9xQI6udJLLgC7CLdm3VmjTbKriWqa0sB5MjaBQX9PqL3Fh/04XsnhE2Gq6ysnUUW/BAgqyTMVaut6i32oH6st9isK2ArI1gMWglZcOBImkLh1YwbFQaTBWypAJO2pli1oljUE/Akcx8B+3qZD2PQCWBK8HQCOQUhB5a0AWXX20Eoio1vBwLl3RlcGrEyRgbgeLK9u21UbYsGIL6PqBLT7ui32zASHXVg4iNSmOkyp+utCatyQZdUGaLWdb9ipRBNdMwWOsIrNG0JtvPTFNcMz289G/92EupDkl6mhzLkEmJE4thozKiYHAUSDCeBijOAAAgAElEQVQqXTlTzHZowUKAyK+w0GNlOsAY6w80sC0YgiYEgmfNTI5lWK8cXCrp0AqGzREn7XQhx6W1ssUWeVgve/RDJmA43kwxh1Le7wmqzYeBXkxGcYr33mcLXfqh266/eefwrV9FxJkGvDmy8pHjuVX7Y2y1XCeX2X0nsl7M9URMncwVrLVrVGu5FzZzBpp+BnvQsQ+ecDv0zmcRebWIPCEi50XkrQPOv0lElkTkC/7fj/ecu19EnvT/7jfRniAYXZvLOuEMV0dw8II7Ln99VKe4o0zeLv0wwjMruilYN+oYc1XFV2u/QcJ7oasM2Ka5wvSlhk2LQc/7Udo1W8w5yy+ygcgWg4ikgXcDr8Tb//lhEXlwwE5sH1BK/WTfvXPA24GzgAI+59+7FrVde2Gz2uTY9O57F/dixpEGELSAnsaMIy5fOyxHppIsLyad0iajanMOhPxmtRkogVJjpphlq9qk0WpbTeBaKwerxaUx6yiUdn1Eq7QXNuuYjZJZr+Hlfhxui+GlwHml1AWlVB14P/C6gPd+N/ARpdSqLww+ArzaQJv2xKja3EwxR6VhP819dTu4kwt6KBvLjq71cp2UEJgayWVSjOfSDi2GEQRDIdvJY7EJHeAQFHOO4t9HcaSCO4e9HiujzEsNm1FJayEorpkDbjGYEAwngYs97y/5x/rxd0TkURH5kIicHvFe4xh10mrN3Dad5EXYjGaygotJ62UXB43iAjeTY1SnOHgLj+1+rDZa1JvtkXwM3TBHu89sdKXITRXfUbKL+2GTSgq6D0kvZh1ZpbZgQjAMWin60xB/HzijlPp64E+BB0a417tQ5M0ick5Ezi0tLYVuLISctAU3C/BmdTSBpbNErQuG7eBx3Bouku/C0A8zDgTDKJn1Gvpa+20bkeLqjH277doYIVegHxWLlnyXrhxlvch29q8+iDAhGC4Bp3venwKu9F6glFpRSunCIb8KfEPQe3s+4z1KqbNKqbOLi8OjToIgzKR1wbO22oqtanOkdk2MZUinxPpiMkrmp4aL8EtNoY0yaacLWcr1Fg2L2bKjVO/VmPI3uLfdl6NaDLmMF35p2zHuWaUhBYNVKimMj8GLFtyqHkyrwYRgeBi4U0RuE5Ec8Abgwd4LROR4z9vXAl/2X38YeJWIzIrILPAq/5hVjFIOQ2PagWAoVT0H2ijtEhGm8hkHgmE0hyW4opLqTI5lRnLWTjugBTf2qcVQb7apNFojWcvgjclNy4tcmDGmYZNKWq80yKSCVe/VmHEUlWcLkQWDUqoJ/CTegv5l4INKqcdE5OdF5LX+ZT8lIo+JyCPATwFv8u9dBf41nnB5GPh5/5hV6AE+qvMZ7PKsYRYTfb2uFmsLoyT4aMwU7POsmyP6iqD7fG0Ked0f2goIgo5gsNkuPfZH7MspBw57XSV3VOTSKcoNe+NfW1hBw3uhp4rvAXVAG0lwU0o9BDzUd+xtPa9/FvjZIfe+F3iviXYExaavmU+OMGk7VJLFydGhH0ZoF7hxpo5SWVVjuuCFXyqlRppUo2DUshPQtcj2m8XQbZe9RU4v7qNaDNMF+1bpemW0wIs3fcsZKvUWf/zYNaoWLYZRk2HBbbVcGziUmc/b/iYtE2PBf34hmyaXTll1poahuPT1NidttbN50KjtytBqK0q1JpMjLkRBMSpfDt3F2qYGHMbHkE17Ib77TWDp659ZtpeV3W4rNiujOZ9/7rUvBODPn1yynuA2ObJgcLu7omkcyiJ6WjCMjyAYRISZYtaumR9y0to286MsJtC10Gxg1AgbcMPl63EyumZuV8hvdvxY+8sq3a43aavRnxd4SlvZYlTS5ogBIUDH8jmoFsMhFQzeIApScrsX0wW72c9hLQbri0lI+kFfb1OYRrEY7C7ADc/KHDEm37b1txGaStqfAgu8LW5tRiWFoZI0TW3bYW8Lh1QweIOwODZapchpy5EZYZzi+vqNSsPaLlZhaBHotRjsPrMwixzY9zGEyeC1nZUd2irNZ6n4+T82sBEh67loWTB4lZhHE1iZdIqJsYz1oBBbOJSCoVRvksukRq5HYztkb6PSID1iWBx4k6nZVtaSfMJSSbadvI1Wm3K9NXK7XHD5YSgusK+Zh7ZKLYf4dgMvQlBJuYw1KkkpFcpiAC+IJLEYDhDKtdZIjmeNqbxdDWCz0mQqnxk5gse2Bhwm9BJctCvcIgduaMGwFoNtiiuXSZHPjq586PttIKzAAihkU1QsFdEr11s02yqcYHAQLWgLh1IwbNeagWvR98IFlRR2kQMH2lxIi8EWNRLWkgH7kzYMxQVu/EVh2mXb+gtLcQEUcxlrUUlRBJaL3A9bOJSCoVRrhrMY/I5uW6p/ElbLtO3kDet8nhzLIGJPMERxWNrm8qNYDDa5/M1Kk+kQz6szxmz3ZSgqKW2t6nFYvx94v8VmRJ5NHErBUK63QlkMU/ksbeWF1tlAWG3OtsWwUQkXYZNKCZNj9hKjolgMTjTzkFom2O3LKFapTetPZLSkU41iNm3PYojgFJ8qZBKL4SChVGuOlMOgoTVTW1qAN2nDab/6fhsI60gFz2lp63mFtWTArmBotxVbtea+pQXDClKwaP1VGkyMZUYq665RyKWpNFpWovLChveCu30/bOBQCobtkFSS9ckRIpEG7CeSheXLwZtQ+9FimLG4VetWrYlSozvrwY31F87HYLfya5QxVsilUQqqDfP0m55TYamkrVrzQJbePpSCwaOS9h/PGnbSTuY9Lt9mu8JMDLCrNYV1ioNdLj9KtFTHYW8pyCFs6OVYJk0+m7LqfA47xop+hJWNcO2oAQ7QrZp8kHAoBYPnfA7hY7BoMXQ2DwoxAFMp8ZNpLGpzEQSDTYEVJvQS7GrmUX0fYGeMKaVG3oe6Fzb7MgpdqZU8G/s+6987EcL6c7W/hg0cOsGglGI7rI8hb4+yiaJlgoNJG2JigF0qyWtXSIqrIxjMFzmL6vsAO4vJdr1FK2RMPtgt7x7WWgaPSgI7m/VsVhpM5r3NsEaFi8x/Wzh0gqHeatNsq1CCweakjRIWp++zyv+GbVfRXu7HZkhnPezfvrS5J0MURyrYH2Nhx37BtxhtRCZFobhs5/HYxKETDLqA3qhlJ6BrTtro6O6kDb/Q2WiXLoccRWBVG21qTQuTNsJi4oJKCiO0cpkUhaydch1Rksj0fTZ9DGGVD63k6RpoJhHFkukyDIdUMIjIq0XkCRE5LyJvHXD+Z0TkcRF5VEQ+KiK39pxricgX/L8H++81jTAltzXSfly+jY7WJvp+m7RRyiFDV9DZoCCiTFqrFsM+7csoWbxgjxZstNpsh6h5paFzH0oWBEMU5cN2JJdNRBYMIpIG3g28BngB8IMi8oK+yz4PnFVKfT3wIeDf9pyrKKXu8/9ei2Xo5LQwggF09rM9J9d+8zFEyS727rO5AIeftHojFVuUTUpgPETkG1jsy4gWg60SD1vVcLW4NDoWgyXnc1Sr9CBWWDVhMbwUOK+UuqCUqgPvB17Xe4FS6uNKKb3906eBUwa+NxSiWAxgr8ZOlOqSYLFdBhYTsMXlh49k6UaM2NEypwrZUMla4MBiiGBl2YjLjxp4Me5HGNoICw2bdAqeYpCSw0slnQQu9ry/5B8bhh8D/qjnfV5EzonIp0Xk9cNuEpE3+9edW1paCt3YziY9IcJVwV4p3c0IvDR4k7bWbBuvGWNiMQHzk0MpFUmb0/XybS3AYZ8X2FQ+olNcAFuG+zJKeC/A5JifL1Cz4XwOl3QKfkmY/MHMfjYhGAapRQNVChF5I3AW+Hc9h29RSp0Ffgj4jyJyx6B7lVLvUUqdVUqdXVxcDN3YziY9Ic18W+b0RqVBPptiLBNSYFmKgDARRtv7OaZQ9kMvIy3AFoV82MUE7NXYiRKTD/asvyiJigD5bIqUmHc+15ttKo3wvg/w+vJQ+hjwLITTPe9PAVf6LxKRVwD/AnitUqqmjyulrvj/LwCfAF5soE1DoR1UYUpigJ/mbiWPIbxmAvY08yhVL3vvMz05omqZYE8zj0I/gF0fQ9iYfLDnsI/alyLC+FjGuPM5qt8PdKn+w+ljeBi4U0RuE5Ec8AZgR3SRiLwY+BU8oXCj5/isiIz5rxeAbwUeN9CmodCxzmF9DDb53yja736dtLYshqhapr7XhmYetuaVxnQhy3a9RbNltlxH2Oq9Gracqd2NoMK3bdKCYIiaWwR+6e3DaDEopZrATwIfBr4MfFAp9ZiI/LyI6CijfwdMAP+9Lyz1+cA5EXkE+DjwTqWUVcFQ6lBJYSkbbwAan7QRwuLAnmDYjEg/2IrLj1IOWWO/Cnl9r2nLdN+OsY6QD29ljY9ljFNJJiwGm5n/NhG+J3qglHoIeKjv2Nt6Xr9iyH2fAu410YagWC/XKWTToerrQHfSlmrNTsijCWxUGhydyoe+31a+wGa1weRYePoBNGduul3RtUx7tKC5BXh23OwYi0px6c8xiY1Kg2xaOhnMYWCVSopoZR3WqKQDhZVSnfmJ8JPNmjltSJsz7mOohNtXoBc2NHMzPgbzTt5qo0UtZDFEDVsVVqP6sbr7kZi3Sqfy2ZH3Ou/FZN4CldQZY+GFqQ2lyAUOnWBY3q4zPzEW+n5bkRkb5UboBB+ASUvbe4bd8asXNszpqOG9YCcu34jvw5L1F5XiKmTTZFJiwV8UXfkYz5mnkrrJndGsUptbtdrCoRMMK6UaCxHM886kNag1RdnxS0Nz+eajkqIJLLBjTmtBM2mEyzfXtm5l1QgCq2grwiyaVSoi1qy/qIJhIp8xnuAWpUquhu39NWzhEAqGaFSSjXwBveNXlEkLdsoiRylupjFlQTCY8H3Y4Mw3ItZJAjshvo1Wm3K9ZagvLYyxiMrHhKWopLD7fWjY3vXRFg6VYFBKsbJdi0Ql2eDyTWgmYCeZZiti6CX4Pob9SHFZ8BdFTQjsvdfkYhK1tInGVN68Xyaqsx68shjbdbP7PkfZ70PD9j7xtnCoBMNmpUmjpZiPQiVZ0TKjLybgx0xboGwiT458hq1ak7ZJLt+AU9zGDlsmYt/Hc2nSKTHal1FKgffCRlJglP0+NCbGsrTayui+z167Ij4vy9sB28KhEgzL217C9UIEi2E8l/YKY5nUMg3EcYN5Lr/ZalOqhS9UpzFVyKIUlAxWv/S0zIjPywKXbyLEUUSYypu1/qLWSdIwTQsqpYxo5rr2mUk6KWpCIBzczXoOlWBYKXnbOEbxMYiI8ckRtX6/hmltTk8yU5PDJJ3kOcWjW1hgh7IxIUxNKh8mBJa+32S7qo029VbbAJVkfrMeE9FSB3V7z0MmGDyLYX48vMUA5ndLM+ZjyJuNmTaRKwB2drKKUllVw47zOVoxRA3TtKApH4Me+6a4fFPWsq59ZtJi2DLgFO8qH4mPYd9ieduzGBYiWAxgPi6/w0sXo2vmW9WGMS6/U8NmHy7AJqKliha4/KhJZBqmlQ9jfqxChnqrTc1QXL4pgWVDMJjwfeSzKbJpSXwM+xnaYohaZmCqkDEaZbBRaSACEyFLgWtMF7K0DXL53c2DotIiZhO2mv5WkFEtLBtx+Sac9WA+wsyEUxzM02+mKC7TVJIp34fnLzp4ZTEOmWCoM1PMkk1H+9mmKyZuVryY/LA7fmmYnrQdbS6qJWOYStrqOFKjl/oyTb9FTSLT8BYTk47UJrl0irFMtLFv2vozkSkO3SKPpiyGWtPzfUSluMC89ecCh0swbNciRSRpmI7+2ag0Ii++YF4zN6XNdaJ/9tlioj/DdF8aa5dpS6YQrR4RmM/k7Zbc3l8+BlN+P4BJS1V8bcJIddWDglvmxo1URDUd/bNZjW6ygvkcC2PaXC6DiElLxky0FJgv8LdZbXDX0cnIn9O7VWuUzNvedpnSfsGc8mGK4pr0BYuparlGlY+8WerZBQ6VYHjra+4x8jlT+QzVRptasxU5+gTMRNh47TKvzaVTwnjIvSs0Uikx6rA3O2mzXFmvRP4cjajFEDV6a3IZEQzGxpjZpEAdwhyl5hWYL/C3YciSAW+cXl4zN8Zc4FBRSaagFyRj2okhh6XpuiwbfrheVPoBzDrsTeUKeJ+R7SwCUaGLIRpZgE1r5sac4oaVj2qDQjZNLqLvw3QggUnl4yDuyWBEMIjIq0XkCRE5LyJvHXB+TEQ+4J//jIic6Tn3s/7xJ0Tku020xzZMO+CMWQwWqCQTEwPMOuy70VJm/DLGnOJ+MURTPgYwtwAbt0oN0oImBDyYLfBn0segrWWTdZxsI7JgEJE08G7gNcALgB8UkRf0XfZjwJpS6nnAu4Bf9O99Ad4e0S8EXg38Z//z9jWMTw5D/O/kmM/l7zNLBsxy+aZi8sHry7rP5UeFiQJ6GqZr7HhZvNHHmOmtWk1ksGuY9P1192IwYZVmaLTM1nGyDRMWw0uB80qpC0qpOvB+4HV917wOeMB//SHg5eLxE68D3q+UqimlngbO+5+3r2GyYmKt2aLaiF4SADwuf2LMXPXLqJva98JkLPdmpUlKiOz7ALP0m6koLuiG4ppol1LKmMUAZnclM2uVGhz7hi0GOFhlMUwIhpPAxZ73l/xjA69RSjWBDWA+4L0AiMibReSciJxbWloy0OzwMGkxmMou1jDJZ0bdI7gXNhYTM74Pc5PWVIQN9C4m0Z9Zud6i1Vb70vrzksjMjDGT+QIm9mLQsLVXtk2YEAyDZmc/mTbsmiD3egeVeo9S6qxS6uzi4uKITTQLkx1tcjEBw1z+PqWSTLcLDPWlYad472dGgamaVxpGrT+TFoNBpchE1rPGQaywakIwXAJO97w/BVwZdo2IZIBpYDXgvfsOJrVMk/QD7Gcz39zet6b4cugJCzXwzExVyQXI+5E6RqxSgxE2+nPMLcDmlQ8TTl5Tfj/YGXp8UGBCMDwM3Ckit4lIDs+Z/GDfNQ8C9/uvvx/4mPJ670HgDX7U0m3AncBnDbTJKsYyKXLplKHFxJyWCeaoJJO+DzC798F+tRhMOsXBnGaucwWM9aUh608pZVjIZ405eW2MsYNUYTWyYPB9Bj8JfBj4MvBBpdRjIvLzIvJa/7JfB+ZF5DzwM8Bb/XsfAz4IPA78MfCPlVLRw0Msw9uTwUyYow0z3wwt4g3iSUP8r1G/jOFIFv2ZUbFZbZAyUAxRw5T114mwMfXMDNWXsuH7AFMUb/S9GDRs7PpoG0ZGsFLqIeChvmNv63ldBf7ukHvfAbzDRDtcwlRonPFJa8gBZ9z3YTCSy2jsu0GBtVFpMJnPRi6GqGFKMzeufPSUd4/yW81TXF3K5th0PtJnbVUanJ4tmGjWgdzeM8l8DglTTl6Tse/gtWu73qLZimZOmwzXA/MOe1PtMhmXb6rshIYxKskCXWmivLvJmldgYYwZ6ksvuinF1iHzMRxKmMqy3Kw0yKXNhMVBT/x7xLaZTPABc5p5o9WmXG8Zm7RgjrIxGd4LBq2/ipl6RBqm+tLU7m0aptplai+GXpgu1mgbiWAICVMx0yY1EzAXGrdfLYatDvVmbgE2NWlNJgSCJ+RNUUmT+QxpQxSXqfLu+3WMmdyLQcP0Xtm2kQiGkDCVZeltBWl2AEJ0Z6qNEMfezw0L09QbmKVsTGqZerOeqOGXJqk3MOdMNe/H2p9KESQWw6GBqZhp0xaDDguNPGkN87+mQnxNFtDTMBZIYNrHUMjSaivK9WiBejZ8H2BCyJvN+u+WBDc0xgz35WHLYziUmCpkabYVlYjF12xomWDAzK82yKaFfNbMEPFCfKMvwKYXEzCX+2Fq9zYNUwuwad+HqfpSXd+HmbZl0inGc9EDCUzuxaDhbdaTCIaveZjiMzdNLyYFM1mWWss0UY9Iw0Tuh2mHJZiJy682WtSa5hICweQYM+v7MEklFXPpyHuw98KEkLdhMUwXsp1Ew4OARDCEhDnN3FwRMTC4mBjabrQXJhz2tvjfTT8uPyy6FJfJqCQzTl6TlVXBXHl305E/YIYWtDHGpgpZtmrNSGPMJRLBEBImFmAvLM7spDW1xeFmpcGkwXaBmdwPW/yvihiXb4PiMhkWanKRM1Xe3WQ9Ig0TIb6mQ7XBWy+U8jZzOghIBENITBmol19ptGi2ldHFRHP5Jsxpk9ovmMn9MLkXg0aHGolg6puukwQ9XH6EvtR5HyaVDzBk/RkWWGCmJIwVi8Hw5l62kQiGkDCR5m468kfDi5iKHmNucpEDM3H5m1Wv7IRR34cBJ6/p0Esww+XbEFhgJsTXK21ifuxH3Yvd5F4MGqa3arWNRDCEhAltznSpAg0TORYbNvhfn0qKEuK7aTjCBsxw+Ta0zEkDJcF1u0xbDCayxW1YpSbyBez4PnQobfi2ffTL1/m2X/wYF5ZKppo1FIlgCAkjk9ZCTD6YiZm2xf9GDfG15RSHqNaf+QU4m05RzKX3pfJhZgE2b5VOFTKUas1ItcKsjH0DwSrLpRqX1iqMGbRkhiERDCGRSaeYGItGjdjT5qJN2qq/oc5+XYBtWDKwP62/qAuw6cqqGlGppM5eDJbGWBQ6ycYYM8kwmO7LQUgEQwRETVqxEWED0euy2GwXRLeyjC++ehOhKAKr2iSfTTGWMavNRY3k0s5+G8pHlHZ19mKwpZlHmpfmfR8mynVsVBqkU2I08GIYEsEQAVE1800LGZYQPZHMVrvMWAzmtcyJnB+XH2XSls1rmRC9L01vHasxXfDKuzdCUjY229X7+WGwVTHv++jkfkQe+xmjgRfDEEkwiMiciHxERJ70/88OuOY+EfkrEXlMRB4Vkf+t59z7RORpEfmC/3dflPa4RlStyXQ5ZI3pQpZ6s001JJdvzWIwEOJrurYUeHH5k1FpwarZfBQNLyzUgFPcuPXn9WVYysbeGDNlle6/MWY6UXE3RLUY3gp8VCl1J/BR/30/ysCPKKVeCLwa+I8iMtNz/p8ppe7z/74QsT1OYYL/LfibvptE1JhpGxE2vZ8XVgPu7MVgQTOfLkbLsTBdJ0kjalz+ZsV86CVEp0ZshmpDeIvBxl4MGlHzeGwIrGGIuiK9DnjAf/0A8Pr+C5RSX1VKPem/vgLcABYjfu++wFQ+Wsy0LS0zasx0l5feX1TSloWMVI3oXL69voxKJdmyZPTnh0HXkrEUehzymdnYi0EjalLgQbIYjiqlrgL4/4/sdrGIvBTIAU/1HH6HTzG9S0TGdrn3zSJyTkTOLS0tRWy2GUxFTNgyuXdxL6KWH7ZFP0QN8bVlyYAZ6880Lw1eX5Yi1NjZv8rH/vQx2BxjUa0/05WYd8OegkFE/lREvjTg73WjfJGIHAd+C/hRpZT2WP0scA/wEmAOeMuw+5VS71FKnVVKnV1c3B8Gx3QhGylm2kZJAIheFtnWpI0a4muLl4bo4ZemK5hq6DpOYS1TewIrGpdvS/mIWivM5hiLWvnVRqb4MOw5YpRSrxh2TkSui8hxpdRVf+G/MeS6KeAPgf9HKfXpns++6r+sichvAP90pNbHDD05SrUmM8XcyPdvVhscmcybblZ0ba7StMJLQ7QQX1vRUhDNYmi3lTX+t7cvdVjtKNisNFmYGH1s7oXImrkv6EztxaAhIpH60sZeDBpRGAZdcNMGwzAIUamkB4H7/df3A7/Xf4GI5ID/CfymUuq/95077v8XPP/ElyK2xymiTg772lx4rcmWyRolksuqxRChxEOp3kQpO4lHUWtyWXOKR+TyNyvm92LQiOLktW4xhBxj2vdxUHwM7wReKSJPAq/03yMiZ0Xk1/xrfgD4duBNA8JS/5uIfBH4IrAA/ELE9jhF1NA4e/RDtLosNjWTKLkftugH8Bbgip/xPSp0VVabfRl2AbblsDRB2dhUPvarjyH0GHOY9QwBqKTdoJRaAV4+4Pg54Mf9178N/PaQ+18W5fvjRhSLod1WbFmiH8YyafLZVGityaaTayqf5fJ6JdS9NjbD0ehkP1cbLEwMjYEYCJuTNoq/SI8xG+2KStnYCryAaEUkbezFoNFLC4YdY/vG+ZxgOKJoc9v1Jm1lr6N1+OWjl9b57NOrI91royRAp12F8JN2o9Lw92LYX/Tbum8xhPEz7YUoTt6S7TEWkbKx1a4oYaEb5XrnM0wjipC3VVdtGBLBEAFRLAabmgl0namv/eVP8gO/8lcj3WujJEBvu8JO2vVyg5lijlTKfEmAKH25XrG3mEQJJLBJcUFUzdxeslaU3I/1suf7MF3zCqJRvLb21RiGRDBEQBQt07YGEGVyWJ20eW/v21aIuPyNSoMZi5YMEEoD1pN2JkTU0F7QNXbCKR92ksg0onD562V7famVojD7fthMIutWWB19jNnYCGo3JIIhAoq5NOmURNMArFFJ4aJslFLWJy3AVhgN2FKEDUSL/lm3qJnrGjthlA/bWmYU5WOjHC78Ngim8lkaLUW1MbqTd92iYIiiSNq2/vqRCIYI0A64MJPDVgE9jbCOwe26tw+1De0XokVyeVSSZW0upPU3ZinvA8Jz+foZ21zowvRjs9Vmq9ZkpmDeJwPRaMENi2MsylatOr/CdN7HMCSCISLCauY26QcIr82t+843W5NW+y5Cta1St0glhefybQosCF/HyWboJXT9RaNSNrZqcWlECQpxQyWFowXHLeV9DEIiGCIirGbeCXG0aE5HibCx1a7o2pwdgZX3q9yGdT7bNPH37RgrZKi32tRGjMvvKB+W+jJqIIEtpWgskyKXTkWwlu20axASwRAR4TVzbzemyTF70T9h6q51LBnbmvmIk7bVVlbDaCE8NeI5xe1N2rCb9WxWG4h4GxHZQFjOfN2BUgThQ49tWX8iEtphv2FZ+ehHIhgiImxHa1rE1m5MYSNRbMbkQ3htbtOywAKP2gi7mOxXgTWVz1oJ74XwfakdqbYDHEZtV7XRotZs2+3LkELeNl3Zj0QwRETYSbtmMSoDwvPKLnwfMDrPum65XRDe+tus2J20UXQmKpsAACAASURBVKgkm1pm+L60SyWFdfLaHvsQPo9n3fIY60ciGCIirANuw2JIKISPRLGZrAUw7of4jipMXUzasPXy1y3mV4C30IWpsWO7GudUyP011i1bDN39SEYUWJ12WaQFQ/v+6omP4SAhtAOuYrejw5rDG2W7oZciwlR+9PLD651SBfaeWRhtrt70thu1qpl39lceXQO27RTX3zMK9AJsi7LJpFNM5jOd7wmKdYvlMDTChB7bzi0ahEQwRESUyWFVywxJJbngMsNQNi6qS3r87z60ZEJmzG5W7exdrBGWStqoNJjMZ0hb8n0AzBZzrPkLfVC4oZIyHQEUFLZziwYhEQwREcUBZ9XH0EchBN0a0ma4nkYYzrzrFLfP5Y9CC2741JtNh2XoMWbbx6CzxUfUzDcc8OWzxSxro1oMDpSPmUKOjUpjpK1abecWDUIiGCJCd9badnAtoGE58xNuzqhutINRXeuWBRaE41mdWAz5LK22olxvBb6nq2XapbiAkTVNmyVEAHKZFIVsenTnc9m+8jFTzI3+vCzn8ICn2LQVbNWCW3+2c4sGIZJgEJE5EfmIiDzp/58dcl2rZ5OeB3uO3yYin/Hv/4C/29uBgtZ81kdY6DYdmKz9ZnrQonU2C9VphKFs1ssNJsYyVjM/w0Sz2KyTpKGFzijtqvrOatux72F2vnMRYeNZDKMLUpu5RdDty1GElm1n/SBEnWVvBT6qlLoT+Kj/fhAqSqn7/L/X9hz/ReBd/v1rwI9FbI9zdATDKB3tQDAA9KZINFoBqSQHPoZQVJKDBJ8wJQtsJwRCd5yMYpXa3O2uF9OFbCeSLSg2ynYpLvAthu1wY8xWbhF4AgsYyTGun+/s+MGhkl4HPOC/fgBv3+ZA8Pd5fhnwoTD37xfMdjSAUbRMu3HcGr0b2jRbAakky9FSEC4s1MViEmZTHBe+Dy10RuHMbe5214uZQm706B8HFsPceI6tWnOkEN91JwJL9+XXtsVwVCl1FcD/f2TIdXkROScinxYRvfjPA+tKKT0LLwEnh32RiLzZ/4xzS0tLEZttDsVcmlw6NdKkddXRhVw35DQIlVRttKg27NMP08Us9WabyohcvgtLRn9XUGjrz1aVXOiGX47SLld7BM8UsyMJhnZbOfExdDTzEawZ2856CEcLut6kBwLs+SwifwocG3DqX4zwPbcopa6IyO3Ax0Tki8DmgOuGrl5KqfcA7wE4e/ZsiCpAdiAiTBez4ThDywtdsUcwNAIIBhfhetC1stbKdQq5QqB71isN7jo6YbNZ3aqcI/qLpiyHXsLo4ZeuFpPZYo4vXFwPfL3ebtT2GJvpseSPTOYD3bNRaTBnma7pWH8j0ILr5TqFbNpabtEg7CkYlFKvGHZORK6LyHGl1FUROQ7cGPIZV/z/F0TkE8CLgf8BzIhIxrcaTgFXQvyG2DE7otbU8TFY1pqKPVRSK4CPwUXmJ3S1ubVynRMzAQVDuWE1uQ16on9Gcj7XnUSLzIwYfml7LwaNmXFv7CulAnHzOvLHhcCCURfgBrctjNtqEhBujK05rpME0amkB4H7/df3A7/Xf4GIzIrImP96AfhW4HHlBYt/HPj+3e4/CJgpjKjNleuI2N90Y3yHxbA319r1fbiZtEGFqVLKSXXJqXyWlIwWSGC7sqrGqOGXrqik2WKOeqsdOMTXhbMeern80Sgb2+0Kk5XtuuQ2RBcM7wReKSJPAq/03yMiZ0Xk1/xrng+cE5FH8ATBO5VSj/vn3gL8jIicx/M5/HrE9sSCUXlWvX2graqXGr0+hmYQi8HVYjLepZKCoNJo0WjZz/xMpYSZYo7VUbRMR8XN9rJKP/aV6/zxl6523tveOra3XRC8L21X79XQYyyoMPXKujeYdrAAz44s5O1tUDUMkVRWpdQK8PIBx88BP+6//hRw75D7LwAvjdKG/YDZYo5HLgXnWV3VPen1MTQDWAwbjnwfo4ZfuozKGJUW3Cg3AtNhUbCXj+Hvve8cAM+883sA75mN57zNh2yil8s/NTCLaSe6lVVdCaxgfblVbaCUmz2VR6UF18sNnnfErn+tH0nmswHojg5aSmG94kYz+elX3tV5HcxisF9EDHqyxQNODlfOevDCHEe2GBwtJlvV5r4KO4adgQRB4Cwiz9+RL6hm7oriAp8WHDHy7aD5GBLgdXS92abaCFp2wo1peM+xKR74e55B1gwYlZROCRMWMz/BK6UwOZYJvpg4qEekMTNC9E+rrVgr15l3kHg0M2IorYu8DxhdM3cVLSUiI2U/u8hg15gpBI9i9Cqr1q0HXvQjEQwGMGrSynq50ZlQtpHx/RhBNE1NcdnM/NTQ0SxB0N3xy/7kmBtBMHgF99xkpHb9MgGtLEda5qglHlyGXs4Wc6wGzH7WVuLchAsrK/jYL9fd+Nf6kQgGAxjdAedu042OYAhgMXgUl5sBODuCk3fFv27exaQdz7G2HYwW7CwmLiyGEAuwG8Gg/UXBaUFXexeP4uTt9KWDeTldzLFZbQRKOtWUkytFUiMRDAbQyWYMoAXoTe1dTY5MegTB4IjignCTdtYJZ56l3mqzHSD8UisCLgRDGMrGBf2QTY9GC66V685q/syOB6eSXFsMSgVLpHSxQdUgJILBAEaJmXZRWbUXmZTXxUGopJVSnbnxMdtNAkarl7+6XWcyn7EeYQM9lE0Aa2al5E5gaRotiDDt7PjlaIx5tGCwBXi55MYnAzr3I9gYW9muk03brayqocfLaoBn5ipSsB+JYDCAuRE6eq2jAbjp6PQIVNLqtttJO4o250Irh25fBmmbS4thZjw4XdnZ8cuh9bc6gpB31ZezxSzrATdeWtuuM1vMOfGv6d8fhEpdSwTDwYXWMldKtT2v1RN7fsKNZq73L9grXFUp5QkGB6Y0eIvJVrVJI4Al43QxGWHSuvQxTI5lyKVTgZyprjLYNUbJynY9xjR1uxdWXCofnfUiuPLhcvc2SASDEWTTKaYL2UCLybI/GFxp5l0fw+4L8GalSbOtHE6O4HXpVxxaMqPUy1/brlPMuYmwERHmxnOBlI9u6KW7ZxbEkqk1W5RqTadWKQSj39bK7gTWgq8Urmzv3ZculY9eJILBEOYncoE0AH3NgiOLoRuuurvFoAepq8kxyqRd3a451+aCWgwu/Asa8xO5ToTWbnBVJVdjfnyM1QBjv7vIufNjQTDfn8u+nPWVoiDPbLlUY7qQdeJf60UiGAxhYXwskAagNT5XC11GU0l7WAydkFBHk7ZjTu+x0GmKy9ViMkohvdWyO/oBPPpxFIvBmWCYyLFdb+25v4ZWilw9M618BAskqDmzZMYyaSbzmUBCfqXkzpLpRSIYDMEz8wN09HadKUcRNgBj/vfslZXtetJqi2l5j4WuVGvSaClnk7ZTSC8I/bDtLvQSPPoxyGLSqUfkiEpaDNiXLvNRABYmgikfjVabzWrTmfIBwftyuVRjwWG7NBLBYAhBzfzlUs0ZjQS921Xubk5rM99V2/SkXd7afTHp5DA4XICDCvnVcp05h9Ei8wHbFYfFAHsLhlVNVzpWPpb2GGPd6DJ3fenV5ArAMDh01vciEQyGMD/uhV/ulc3o2jTMZVIUsuk9i3ZpimLW0eSYLeZIp6TjjB+GLsXl7pktToztuciBxxE71TInxqg0WpTru0fZbFQajGVSznb86jhT9+rLklu6cnwsQzGX3rMvdda2674M5pN0q0hqJILBEOYnxlBq7zjzle2as4mhMVPM7ll8bWW7zuRYhrGMm8UklfKibPbUMh1TXACLk2N7apnVRovtesuplqkVit0WlM6eyg4tmYXJYFTS6nadTEo6W6i6wEIAIa99g66UIghGJTVbbdbKjcRiOMgIGs0ShzNpurC3YHAZX64RZNLGEa7ntWv3ftQKgGsfA+y+ALeUYnW74TZaKmAgwarvk3GRRKaxMJHbU8ivOg68AE/Ir23Xae/CMHTaddAsBhGZE5GPiMiT/v+btuoQke8SkS/0/FVF5PX+ufeJyNM95+6L0p44EYRnbbUVq+W6846eCiAYVhyGhGosTORY2mMBXi27dViCZzGUas1dKZsbm14/LzrsSz1udlM+Wm3F9c0qR6byrppFPptmciyz5wLsMh9FY3EyuPLh0mKYGx+j6e8aNwxaOVlw/MwgusXwVuCjSqk7gY/673dAKfVxpdR9Sqn7gJcBZeBPei75Z/q8UuoLEdsTGxYCTNq1ch2luo5XV5guZPd0PnuWjFuBtTgxtqfzeaVUI5/1/CSusKipka3hfXnDb7fLBbijme8iTJttxbXNKscdtguCBV+slGqxWKV7CaylrRopcWwxBLCyurlFB8xiAF4HPOC/fgB4/R7Xfz/wR0qpcsTv3XcIkubu2vmmEYRKikObW/C1ud1q2VzfrHF0Ku+UftCCYalUHXrNjS3v3JFJt/QDwHJfNEsvHVFttFgu1Tg67VYwLAQQ8i7zUTQWJsZYKzd2Lb1yY9Nz8KYt78HeiyD+om4y7MGzGI4qpa4C+P+P7HH9G4Df7Tv2DhF5VETeJSJDR42IvFlEzonIuaWlpWittgCvANceGkDJbXaxxl6CodV2WydJY2EiR63ZplTbhbLZqnJ00vUi5z2H3TRNTSW5jBgp5jIUsumbFpNWj2C9tlFFKTgWg8WwG2WjlPKEvENBCl0hv5slf32rylHHz6urSA5/ZsulfWwxiMifisiXBvy9bpQvEpHjwL3Ah3sO/yxwD/ASYA54y7D7lVLvUUqdVUqdXVxcHOWrnSCdEuaKuzu6lrfj0QDmJ3KU6y22hvCZK6UarbZyvph0k9x2oWw2ayxOxbOY7Ob/WCp5PhnXpQq80is7x1hviPTl9QoAx6bda+a7KUVbtSaVRsv5Ahwkl+HGZs2p5Qd0nsON3daLklcKfCrvLopLY89RrZR6hVLq6wb8/R5w3V/w9cJ/Y5eP+gHgfyqlOquTUuqq8lADfgN4abSfEy+OTee5vrkL/eCfW5xwOznuPjoJwBPXtgaev+a3K65Ju5umeX3TvcUwPz5GSvbfYgIeddW/mPQKhourHkt7fLrgtF0eZVMfuu/H9Q1/jDmmuBYnfetvlzF2Y6vKEcfKx1wxRy6d4urG8PViueSFtrukUTWiqjsPAvf7r+8Hfm+Xa3+QPhqpR6gInn/iSxHbEyuOT+d37eirG1WKubTTOG6A5x+fAuDLVzcHnr/mt/lYDLw0DM9+LtWabNdbHHU8adMpYW58d6fl0la1Y1m4xPHpwk1jrHevjQvL2wDcMld02q6FiRxKDadsrvvUm3MqyVfCho2xRqvNynadI46Vj1RKODo9xrWNytBrrm9Wnc9JjaiC4Z3AK0XkSeCV/ntE5KyI/Jq+SETOAKeBP+u7/7+JyBeBLwILwC9EbE+sODad5+ouHX1to8oxx45U8ATWdCHLV4ZYDNf9SeOcStpDm9PWl2ttDvZOcruxVXO+mIDXl1fWKzsc9r3O5wtLJRYmcow72IlsZ7s8C2WYYhSbVbrHGPOCH+IZY8emdlckr6xXOB6TYIg0epRSK8DLBxw/B/x4z/tngJMDrntZlO/fbzg+XWC93KBSb1HI3RxeeXWjEosGICLcOl/k0tpgoXV9o0o6Jc6dXAvjY2TTwpX1wZPjRkfLdP/MFnZxprbbiqWtWiyLyfGZArVmm/Vyo5Nc12sxPL28zWnH1gLAiRlPMFxZr/Ci0zM3nb8ek2Ao5jJMjGU6Y6kfcY6xY9MFHr20PvCcUoqrG1W+/a54/KlJ5rNBaOl+bYif4fpmLTbTUGuag3Bts8qi43A98Mzp49OFjsO0H52QUMeLCcCRyeH+orVynWZbxeJj0GPsSo9l2utjuL5Zc04jAZz0BcPQvtysMpXPDFSYbOPkTGG4UhSjVaqp50Hh2lu1JuV6ixOOfUUaiWAwCL3oXx0wOXRGalym4YmZwk0UhMb1zapzp6DGyZkCl9cGp7V0tUz3k/bUbIFrm1XqzZudqZ3ktpioJICrPVZWq69PXefJAEwVMozn0kOtv2sx8uWnZndTPnyLIQbl49hUnnqzPXAjId2/B9XHkKAHJ3bhWVdKNZptxbGYNICTMwW26y02KzfnDHi+D/eLCcDJXSbt9c0ahWyaCcd8OcDpuSJKMdBn1M16dv/MNGVztceaafXtzuc6uAE8uvK4r3wMgk5UjAMnZwtcGqJ83NisIuK2eq9Gh2EYsF7ocReXIpkIBoPoWAwDFhMtLFyXKtDocMAD2nZts+rc8axxcqbAja3aQM38+maVo1PxhOudmvWe18XVAX2pcwVieGYLE2NkUrLDKu3fnW8y767mTy9OzBQGji/QfRmfxbBVbQ5M8ryx5YWE6p0OXeJYh3oeMCf1ejGTUEkHHvlsmtlidqDFcDWmkFCNDjfdp9GV6022qs34qKTZwlDN3HUxuF50BMMATfPyeoWUxNOX6ZRwtC+apd1HJcWREAVwcmawH6vdVtzYqsVCCQKcnPF8LpcH+Bkuxxj5s1sk19UNz5KJw48FiWAwjmPThYGmoY5XjkswnOyJGulFJ4chrgVYOy0HTNqLq5XOAu0ax6byZFIykIK4vFbh+HSBbAxaJminZa/F0E8lxWQxTBdYLtWpNnbu/bwcU2a9xsnZ4Y7xy2sVTs/FM8YWJ72Aj6sD/DJXNyosTozFNsYSwWAYJ2fyAwfg1c0quXSKOYd18nuxMOGFhl7uG4QX/QX51Kz7SBboTtpLfc+s1mxxfasaS4QNQCad4vhMfiCVdGmt0hG0ceD4zM4kt2a/jyFGKglu5syf9bOx4wijha711x/k0G4rLq1VOB3T2E+nhOPTeZ5bvVn5uLoRX6AKJILBOG6ZG+fZlfJN0T+X1iocn8mTchwSqqFDQ/sthmdXvEzZM/PxTI5j03lEbrYYLq9VUIrYJi143z3QYliPz5IBOD1b4PJapVN+4iYqKQbnM3QFQ79i9OyK9wxvnR933ibwHMv5bOqmkNUbWzXqrTanYhJYAHcsTvDUUumm415yW3xjLBEMhnHbQpFKo9UpAaDx9NI2ty3EMzE0+ikI8CZtIZuOpbwDwFgmzZHJsZsWE23JxKVlgqdpXuxbTKqNFlc2KrG268zCOE1f24UBVFJMFoOmZPo14OdWy6SE2KwsEfHCom8aY1474xTydyxOcGFpe0f2erPV5rnVMrcuxDfGEsFgGGf8xf8ZXxMHL4vx6eX4BcOp2eJNk/bZlW1unS/GEvmjcev8OE8vb+849rSvRd0akyUDnsWwtFXbwZk/s7KNUnDHkYnY2nW7P46e9sdYa58IhhPTBfLZFE/d2KkBP7eyzfHpgvNKtL24Za7IMys7x/4Ff4zdsRBfX95xZJxKo7Uj/PjyeoVGS8XarkQwGMYZ31zuXeiub9aoNFqdCR0Xbl8c5/pmje2e/Q/O3yjFLrCed2SC8zdKO+i3J2+UmMpnYovKgK6Qv7DU7cunbniv71iM75npdj29NFgwTMQUlZRKCWfmxzuF/DTOL5W4PcbnBd4Yu7BU2vGsnrxeIp9NdfxcceCORW/xv9BDJ+nxFuczSwSDYZycKVDMpXeUuH7yhvf69sX4NADoCi1tzWzXmjy7WuaeY1NxNovnLU6wUWns2Jfhyesl7jo6Gaslc5dfrlz3H9Dhg2+PUZubH88xU8zypK+Z9wsG16VNenHHkZ2ceev/b+/sY6uuzjj+eUqllb5C32mhLaVYWt4mBUF0KrqBL5nTaZRMRhwb+2PLXLZl05ks2bIsMUumW2LmlrjoH3O+bC4aJGGIGBOiQKtAgVIoSG1paSm0pUAplD7743duuRfLy2jpae99PsnN7/6ee9r7fH+/c89zn3POPadf2d96krLcFG8+QRAYevv6I8ay6o+eZFpmst/r5dqE8CwrdP18fmGzwDDMxMUJpTkpEYFhT3Ow3HV5nt8GOFTRQtnMvtZuVKEsz/+HFi40wKrKvrZuSnP8BtLizCTi44R9rRfuZW3LCQozJnhZ8yeEiFCWmzKwjPrFYww+Kc1O5ovjpzl9NshKG46dorevfyDI+mJ69peD/L4j/utYZvJ4UhPjORCWle5uPkFOaoKXndtCWGC4DpTlpLD3yImBrpHdzSeYnJY4sBqmL4ozkxCBfa0nB/wCmOk5YyifHLx/KIA2dfTQefocFZPTfLrF+Pg4ijOT2NtyoTHZ2dTFrHy/fgGU5aZSd6Sb/n6NGLic4DFgAVRMTkP1wt4fe9zRd1Z6U24KIhfqfFv3GZq7zjDb870UEUpcV2qIXYe7mOW57ltguA5U5KfScfrcwKyRmsNdlHu+0QA3jh9HSVYyuw93AVDd0EFmcoK3H/iEyExOYHJaIjubAr8+awyWIp43yPLNI82cgnR2NHWiqnScOsvhzh7vjQkEwbTn3HkOtp+MyBh8Z6Wz8oP333U4aIA/begk8YY471lpckI80zKTBpa53tkY1LXBlggfacrzUtl1uIvz/cqp3j4OHD1JxWS/99ECw3VgfuFEIGh4j3Sd4fP2UyyaNsmzVwGz89OocYFh26HjLCia6LUfP8Ss/DR2uA/tpw0dJMTHcZPnfmmAeVPTaT95lqaOHrZ8fgy4cH99Uul82Haog/NuraQH5uTx0sr5Pt0iNzWRrJQEqhs6AKhuOM7cgnRvv+ANZ25BOtsbu1BVqho6iI8T7w0wwM1TJ9Ld28f+tm62HjpOv8KCYr/txZDulog8KiK7RaRfRCovU265iNSJSL2IPB1mLxaRLSKyX0TeEBG/fS3DRFluKskJ8Xxy8Bib69sBWDQtw7NXAXML0mjr7mVjbStNHT0sLhkdft1akkHDsdMcaj/Fxr2t3FqSMSoak1ADvLm+nY/2t5OcED8qMpnizCQykxP45OAxTvUG02mfurt0YLtUX4gIS0oy2FzfTlv3GWoOd3HLKKn7C4sn0X6yl71Hutm0t40FRZOYMN7PDK5wKouCOvbxgWNs3t/O+HFxVBaO4cBAsEfzw8BHlyogIuOAF4F7gXJghYiUu5efA55X1VKgA1g9RH9GBePihKVl2ayraeG1rV+Qn36j9xQ/xD3lOQCsfrUKgGUVuT7dGeCusmwAfvfeHhqP9wz46Zuy3BQKMybw+rZG1tW0cMeMrFERsESEu27KYsOeVt6saiQrJcH7tOMQt5dmcezUWX71dg39CvfPzvPtEgBLZwZ17A/r66hr7eZud+6bwowkynJTeKuqiXd2NLNkeobXyQ0wxMCgqrWqWneFYguBelU9qKpngdeBByXov1gK/MuVexX45lD8GU2sWDiVE2f6qG7oYOXiQm9LYVxMwcQJ3OqyhOUVud6WQr6Ywowk7piRxfu1bWSlJPDgvC/tBOsFEeGxBVPY3thJ5+lzfPe2It8uDfDEokJOnz3Pls+Ps2LBFC9LRw/G/XPyyElN4P3aNm4pnsQMzzN/QmSnJLKsIocP9raRmhjPo5VTfLs0wGMLprCn5QRHu3t5ckmxb3eGtufzVZIPNIadNwG3ABlAp6r2hdkv2RqIyBpgDcDUqVOvj6fDyOKSDP70+DyaOnr4/u3TfLsTwUsr5/N2dRMPzy/w7UoEz31rDq9t/YJlFTleNue5FD/4agnn+pQZOcnM95zihzN3SjovPXEze1q6+fHS6b7dGSDxhnG88uRC1u5sZuWiolExhhXi9w/NZnp2MssqcknztArtYKxaXETPuWArT1/7PIcjg231GFFA5H1gsP6GZ1X1HVfmQ+Dnqlo1yN8/CixT1e+585UEWcRvgY9VdbqzTwHWqersKzldWVmpVVVfeivDMAzjMohItapecjw4xBW/lqnqPUP0pQkIz9kKgGagHUgXkXiXNYTshmEYhkdGolNyG1DqZiCNBx4H3tUgVdkEPOLKrQLeGQF/DMMwjMsw1OmqD4lIE7AYeE9E1jv7ZBFZB+CygR8B64Fa4E1V3e3+xS+Bn4pIPcGYw8tD8ccwDMMYOlccYxiN2BiDYRjG/8/VjjGMjvlthmEYxqjBAoNhGIYRgQUGwzAMIwILDIZhGEYEY3LwWUSOAg3X+OeZBL+hiCVMc2xgmmODoWguVNUr/rR6TAaGoSAiVVczKh9NmObYwDTHBiOh2bqSDMMwjAgsMBiGYRgRxGJg+JtvBzxgmmMD0xwbXHfNMTfGYBiGYVyeWMwYDMMwjMtggcEwDMOIIKYCg4gsF5E6EakXkad9+zNciMjfRaRNRHaF2SaJyAYR2e+OE51dROTP7hrsFJGb/Xl+bYjIFBHZJCK1IrJbRJ5y9mjWnCgiW0Vkh9P8G2cvFpEtTvMbbml7RCTBnde714t8+j8URGSciHwmImvdeVRrFpFDIlIjIttFpMrZRrRux0xgEJFxwIvAvUA5sEJEyv16NWy8Aiy/yPY0sFFVS4GN7hwC/aXusQb4ywj5OJz0AT9T1ZnAIuCH7l5Gs+ZeYKmqzgXmActFZBHwHPC809wBrHblVwMdbofE5125scpTBEv2h4gFzXep6ryw3yuMbN1W1Zh4EOwZsT7s/BngGd9+DaO+ImBX2HkdkOee5wF17vlfgRWDlRurD4INnr4WK5qBCcCnBHuntwPxzj5Qxwn2P1nsnse7cuLb92vQWkDQEC4F1gISA5oPAZkX2Ua0bsdMxgDkA41h503OFq3kqGoLgDtmO3tUXQfXXfAVYAtRrtl1qWwH2oANwAGgU4PNsCBS14Bm93oXwWZYY40XgF8A/e48g+jXrMB/RaRaRNY424jW7Svu+RxFyCC2WJyrGzXXQUSSgX8DP1HVEyKDSQuKDmIbc5pV9TwwT0TSgf8AMwcr5o5jXrOIPAC0qWq1iNwZMg9SNGo0O5aoarOIZAMbRGTvZcpeF82xlDE0AVPCzguAZk++jAStIpIH4I5tzh4V10FEbiAICv9Q1bedOao1h1DVTuBDgvGVdBEJfcEL1zWg2b2eBhwfWU+HOo4TbwAAAUJJREFUzBLgGyJyCHidoDvpBaJbM6ra7I5tBF8AFjLCdTuWAsM2oNTNaBgPPA6869mn68m7wCr3fBVBP3zI/h03m2ER0BVKUccKEqQGLwO1qvrHsJeiWXOWyxQQkRuBewgGZDcBj7hiF2sOXYtHgA/UdUKPFVT1GVUtUNUigs/rB6r6baJYs4gkiUhK6DnwdWAXI123fQ+0jPCgzn3APoK+2Wd9+zOMuv4JtADnCL5BrCboW90I7HfHSa6sEMzOOgDUAJW+/b8GvbcRpMs7ge3ucV+Ua54DfOY07wJ+7ezTgK1APfAWkODsie683r0+zbeGIeq/E1gb7Zqdth3usTvUTo103bYlMQzDMIwIYqkryTAMw7gKLDAYhmEYEVhgMAzDMCKwwGAYhmFEYIHBMAzDiMACg2EYhhGBBQbDMAwjgv8BRLXQtGkcjWYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "599 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00069867)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for iteration in range(n_iterations):\n",
    "    X_batch,Y_batch=dataX,dataY\n",
    "    out=model(X_batch)\n",
    "    avg_loss=mse_loss(out,Y_batch)\n",
    "    avg_loss.backward()\n",
    "    opt.step()\n",
    "    opt.clear_grad()\n",
    "    if(iteration+1)%100==0:\n",
    "        print(iteration,\"\\tMSE\",avg_loss)\n",
    "        prediction=np.reshape(out,(-1,))\n",
    "        plt.plot(prediction)\n",
    "        plt.title('After{}training,fitting result'.format(iteration))\n",
    "        plt.show()\n",
    "        num_batches=X_batch.shape[0]\n",
    "        sequence=X_batch[num_batches-1,:,0].numpy().tolist()\n",
    "        prediction_iter=100\n",
    "        for iteration in range(prediction_iter):\n",
    "            x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1)\n",
    "            x_batch=paddle.to_tensor(x_batch,dtype='float32')\n",
    "            y_pred=model(x_batch)\n",
    "            sequence.append(y_pred.numpy()[0,-1,0])\n",
    "        plt.plot(sequence[-prediction_iter:])\n",
    "        plt.title('prediction'.format(iteration))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "paddle.save(model.state_dict(),'rnn.pdparams')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model=rnn()\n",
    "params_file_path='rnn.pdparams'\n",
    "param_dict=paddle.load(params_file_path)\n",
    "model.load_dict(param_dict)\n",
    "num_batches=dataX.shape[0]\n",
    "sequence=dataX[num_batches-1,:,0].numpy().tolist()\n",
    "prediction_iter=500\n",
    "for iteration in range(prediction_iter):\n",
    "    x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1)\n",
    "    x_batch=paddle.to_tensor(x_batch,dtype='float32')\n",
    "    y_pred=model(x_batch)\n",
    "    sequence.append(y_pred.numpy()[0,-1,0])\n",
    "plt.plot(sequence[-prediction_iter:])\n",
    "plt.title('预测结果'.format(iteration))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
